#2. A system of linear equations is represented by line j and a table of values. The graph of line j is shown at the left and the points of another line are shown in the table. Which system of equations is represented by both lines? x y A. B. C. D.
3 answers
Without seeing the graph or the table of values, it is impossible to determine which system of equations is represented by both lines. The system of equations is needed to make a comparison between the given information and determine the correct answer.
#2. A system of linear equations is represented by line j and a table of values. The graph of line j is shown at the left and the points of another line are shown in the table. Which system of equations is represented by both lines? x: -10, -4, 2, 10, y: 8, 5, 2. -2
To determine which system of equations is represented by both lines, we need to first find the equation of the line represented by the table of values.
First, we need to find the slope of the line using two of the points given in the table. Let's use the points (-10, 8) and (10, -2) to find the slope:
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (-2 - 8) / (10 - (-10))
Slope (m) = (-2 - 8) / 20
Slope (m) = -10 / 20
Slope (m) = -1/2
Now that we have the slope, we can use one of the points to find the y-intercept, or the value of b in y = mx + b. Let's use the point (-4, 5):
5 = (-1/2)*(-4) + b
5 = 2 + b
b = 3
Therefore, the equation of the line represented by the table of values is y = -1/2x + 3.
Now, we need to compare this equation with the graph of line j to identify the correct system of equations.
Since we do not have information about the graph of line j, it is impossible to determine which system of equations is represented by both lines without further information.
First, we need to find the slope of the line using two of the points given in the table. Let's use the points (-10, 8) and (10, -2) to find the slope:
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (-2 - 8) / (10 - (-10))
Slope (m) = (-2 - 8) / 20
Slope (m) = -10 / 20
Slope (m) = -1/2
Now that we have the slope, we can use one of the points to find the y-intercept, or the value of b in y = mx + b. Let's use the point (-4, 5):
5 = (-1/2)*(-4) + b
5 = 2 + b
b = 3
Therefore, the equation of the line represented by the table of values is y = -1/2x + 3.
Now, we need to compare this equation with the graph of line j to identify the correct system of equations.
Since we do not have information about the graph of line j, it is impossible to determine which system of equations is represented by both lines without further information.